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Finding the Fourth Proportional to 304,854.10, 457,281.15 and 115,314.10

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Solution

The fourth proportional to 304,854.10, 457,281.15 and 115,314.10 is: 172,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,854.10 : 457,281.15 = 115,314.10 : x
  2. Step 2: Convert to fraction form
    304,854.10/457,281.15 = 115,314.10/x
  3. Step 3: Cross multiply
    304,854.10x = 457,281.15 × 115,314.10
  4. Step 4: Simplify right side
    304,854.10x = 52,730,964,259.22
  5. Step 5: Solve for x
    x = 52,730,964,259.22/304,854.10
  6. Step 6: Final answer
    x = 172,971.15

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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.