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Finding the Fourth Proportional to 584,700, 806,886 and 316,428

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Solution

The fourth proportional to 584,700, 806,886 and 316,428 is: 436,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,700 : 806,886 = 316,428 : x
  2. Step 2: Convert to fraction form
    584,700/806,886 = 316,428/x
  3. Step 3: Cross multiply
    584,700x = 806,886 × 316,428
  4. Step 4: Simplify right side
    584,700x = 255,321,323,208
  5. Step 5: Solve for x
    x = 255,321,323,208/584,700
  6. Step 6: Final answer
    x = 436,670.64

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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.