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Finding the Fourth Proportional to 515,400, 711,329.76 and 314,312.64

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Solution

The fourth proportional to 515,400, 711,329.76 and 314,312.64 is: 433,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,400 : 711,329.76 = 314,312.64 : x
  2. Step 2: Convert to fraction form
    515,400/711,329.76 = 314,312.64/x
  3. Step 3: Cross multiply
    515,400x = 711,329.76 × 314,312.64
  4. Step 4: Simplify right side
    515,400x = 223,579,934,776.17
  5. Step 5: Solve for x
    x = 223,579,934,776.17/515,400
  6. Step 6: Final answer
    x = 433,798.86

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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.