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Finding the Fourth Proportional to 405,102.40, 607,264.80 and 315,095.20

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Solution

The fourth proportional to 405,102.40, 607,264.80 and 315,095.20 is: 472,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,102.40 : 607,264.80 = 315,095.20 : x
  2. Step 2: Convert to fraction form
    405,102.40/607,264.80 = 315,095.20/x
  3. Step 3: Cross multiply
    405,102.40x = 607,264.80 × 315,095.20
  4. Step 4: Simplify right side
    405,102.40x = 191,346,223,608.96
  5. Step 5: Solve for x
    x = 191,346,223,608.96/405,102.40
  6. Step 6: Final answer
    x = 472,340.39

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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.