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Finding the Fourth Proportional to 306,700.90, 423,267.74 and 185,854.08

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Solution

The fourth proportional to 306,700.90, 423,267.74 and 185,854.08 is: 256,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,700.90 : 423,267.74 = 185,854.08 : x
  2. Step 2: Convert to fraction form
    306,700.90/423,267.74 = 185,854.08/x
  3. Step 3: Cross multiply
    306,700.90x = 423,267.74 × 185,854.08
  4. Step 4: Simplify right side
    306,700.90x = 78,666,036,411.38
  5. Step 5: Solve for x
    x = 78,666,036,411.38/306,700.90
  6. Step 6: Final answer
    x = 256,491.05

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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.