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Finding the Fourth Proportional to 407,903.10, 611,854.65 and 258,312.30

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Solution

The fourth proportional to 407,903.10, 611,854.65 and 258,312.30 is: 387,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,903.10 : 611,854.65 = 258,312.30 : x
  2. Step 2: Convert to fraction form
    407,903.10/611,854.65 = 258,312.30/x
  3. Step 3: Cross multiply
    407,903.10x = 611,854.65 × 258,312.30
  4. Step 4: Simplify right side
    407,903.10x = 158,049,581,907.20
  5. Step 5: Solve for x
    x = 158,049,581,907.20/407,903.10
  6. Step 6: Final answer
    x = 387,468.45

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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.