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Finding the Fourth Proportional to 506,219.60, 698,719.56 and 291,429.20

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Solution

The fourth proportional to 506,219.60, 698,719.56 and 291,429.20 is: 402,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,219.60 : 698,719.56 = 291,429.20 : x
  2. Step 2: Convert to fraction form
    506,219.60/698,719.56 = 291,429.20/x
  3. Step 3: Cross multiply
    506,219.60x = 698,719.56 × 291,429.20
  4. Step 4: Simplify right side
    506,219.60x = 203,627,282,395.15
  5. Step 5: Solve for x
    x = 203,627,282,395.15/506,219.60
  6. Step 6: Final answer
    x = 402,250.89

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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.