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Finding the Fourth Proportional to 402,115.65, 602,254.53 and 191,901.21

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Solution

The fourth proportional to 402,115.65, 602,254.53 and 191,901.21 is: 287,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,115.65 : 602,254.53 = 191,901.21 : x
  2. Step 2: Convert to fraction form
    402,115.65/602,254.53 = 191,901.21/x
  3. Step 3: Cross multiply
    402,115.65x = 602,254.53 × 191,901.21
  4. Step 4: Simplify right side
    402,115.65x = 115,573,373,034.98
  5. Step 5: Solve for x
    x = 115,573,373,034.98/402,115.65
  6. Step 6: Final answer
    x = 287,413.27

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1.5x scale

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.