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Finding the Fourth Proportional to 514,306.49, 709,748.17 and 310,317.93

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Solution

The fourth proportional to 514,306.49, 709,748.17 and 310,317.93 is: 428,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,306.49 : 709,748.17 = 310,317.93 : x
  2. Step 2: Convert to fraction form
    514,306.49/709,748.17 = 310,317.93/x
  3. Step 3: Cross multiply
    514,306.49x = 709,748.17 × 310,317.93
  4. Step 4: Simplify right side
    514,306.49x = 220,247,582,159.89
  5. Step 5: Solve for x
    x = 220,247,582,159.89/514,306.49
  6. Step 6: Final answer
    x = 428,241.89

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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.