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Finding the Fourth Proportional to 310,031.10, 465,046.65 and 307,698.30

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Solution

The fourth proportional to 310,031.10, 465,046.65 and 307,698.30 is: 461,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,031.10 : 465,046.65 = 307,698.30 : x
  2. Step 2: Convert to fraction form
    310,031.10/465,046.65 = 307,698.30/x
  3. Step 3: Cross multiply
    310,031.10x = 465,046.65 × 307,698.30
  4. Step 4: Simplify right side
    310,031.10x = 143,094,063,625.70
  5. Step 5: Solve for x
    x = 143,094,063,625.70/310,031.10
  6. Step 6: Final answer
    x = 461,547.45

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Similar ratio
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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.