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Finding the Fourth Proportional to 514,404.02, 710,063.88 and 418,744.64

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Solution

The fourth proportional to 514,404.02, 710,063.88 and 418,744.64 is: 578,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,404.02 : 710,063.88 = 418,744.64 : x
  2. Step 2: Convert to fraction form
    514,404.02/710,063.88 = 418,744.64/x
  3. Step 3: Cross multiply
    514,404.02x = 710,063.88 × 418,744.64
  4. Step 4: Simplify right side
    514,404.02x = 297,335,443,807.60
  5. Step 5: Solve for x
    x = 297,335,443,807.60/514,404.02
  6. Step 6: Final answer
    x = 578,019.28

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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.