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Finding the Fourth Proportional to 514,426.14, 709,945.47 and 310,526.73

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Solution

The fourth proportional to 514,426.14, 709,945.47 and 310,526.73 is: 428,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,426.14 : 709,945.47 = 310,526.73 : x
  2. Step 2: Convert to fraction form
    514,426.14/709,945.47 = 310,526.73/x
  3. Step 3: Cross multiply
    514,426.14x = 709,945.47 × 310,526.73
  4. Step 4: Simplify right side
    514,426.14x = 220,457,045,277.41
  5. Step 5: Solve for x
    x = 220,457,045,277.41/514,426.14
  6. Step 6: Final answer
    x = 428,549.46

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Double scale
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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.