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Finding the Fourth Proportional to 610,041.60, 842,155.20 and 406,213.20

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Solution

The fourth proportional to 610,041.60, 842,155.20 and 406,213.20 is: 560,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,041.60 : 842,155.20 = 406,213.20 : x
  2. Step 2: Convert to fraction form
    610,041.60/842,155.20 = 406,213.20/x
  3. Step 3: Cross multiply
    610,041.60x = 842,155.20 × 406,213.20
  4. Step 4: Simplify right side
    610,041.60x = 342,094,558,688.64
  5. Step 5: Solve for x
    x = 342,094,558,688.64/610,041.60
  6. Step 6: Final answer
    x = 560,772.51

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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.