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Finding the Fourth Proportional to 514,420.02, 710,085.96 and 418,760.64

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Solution

The fourth proportional to 514,420.02, 710,085.96 and 418,760.64 is: 578,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,420.02 : 710,085.96 = 418,760.64 : x
  2. Step 2: Convert to fraction form
    514,420.02/710,085.96 = 418,760.64/x
  3. Step 3: Cross multiply
    514,420.02x = 710,085.96 × 418,760.64
  4. Step 4: Simplify right side
    514,420.02x = 297,356,051,064.61
  5. Step 5: Solve for x
    x = 297,356,051,064.61/514,420.02
  6. Step 6: Final answer
    x = 578,041.37

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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.