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Finding the Fourth Proportional to 585,207, 807,585.66 and 316,935

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Solution

The fourth proportional to 585,207, 807,585.66 and 316,935 is: 437,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,207 : 807,585.66 = 316,935 : x
  2. Step 2: Convert to fraction form
    585,207/807,585.66 = 316,935/x
  3. Step 3: Cross multiply
    585,207x = 807,585.66 × 316,935
  4. Step 4: Simplify right side
    585,207x = 255,952,161,152.10
  5. Step 5: Solve for x
    x = 255,952,161,152.10/585,207
  6. Step 6: Final answer
    x = 437,370.30

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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.