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Finding the Fourth Proportional to 472,327.85, 651,807.13 and 257,463.20

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Solution

The fourth proportional to 472,327.85, 651,807.13 and 257,463.20 is: 355,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,327.85 : 651,807.13 = 257,463.20 : x
  2. Step 2: Convert to fraction form
    472,327.85/651,807.13 = 257,463.20/x
  3. Step 3: Cross multiply
    472,327.85x = 651,807.13 × 257,463.20
  4. Step 4: Simplify right side
    472,327.85x = 167,816,348,828.96
  5. Step 5: Solve for x
    x = 167,816,348,828.96/472,327.85
  6. Step 6: Final answer
    x = 355,296.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.