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Finding the Fourth Proportional to 402,875,413.80, 604,313,120.70 and 355,258,300.20

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Solution

The fourth proportional to 402,875,413.80, 604,313,120.70 and 355,258,300.20 is: 532,887,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,875,413.80 : 604,313,120.70 = 355,258,300.20 : x
  2. Step 2: Convert to fraction form
    402,875,413.80/604,313,120.70 = 355,258,300.20/x
  3. Step 3: Cross multiply
    402,875,413.80x = 604,313,120.70 × 355,258,300.20
  4. Step 4: Simplify right side
    402,875,413.80x = 214,687,252,048,439,456
  5. Step 5: Solve for x
    x = 214,687,252,048,439,456/402,875,413.80
  6. Step 6: Final answer
    x = 532,887,450.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.