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Finding the Fourth Proportional to 360,306, 540,454.68 and 338,384.24

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Solution

The fourth proportional to 360,306, 540,454.68 and 338,384.24 is: 507,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,306 : 540,454.68 = 338,384.24 : x
  2. Step 2: Convert to fraction form
    360,306/540,454.68 = 338,384.24/x
  3. Step 3: Cross multiply
    360,306x = 540,454.68 × 338,384.24
  4. Step 4: Simplify right side
    360,306x = 182,881,346,146.24
  5. Step 5: Solve for x
    x = 182,881,346,146.24/360,306
  6. Step 6: Final answer
    x = 507,572.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.