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Finding the Fourth Proportional to 501,498.78, 692,068.31 and 286,643.46

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Solution

The fourth proportional to 501,498.78, 692,068.31 and 286,643.46 is: 395,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,498.78 : 692,068.31 = 286,643.46 : x
  2. Step 2: Convert to fraction form
    501,498.78/692,068.31 = 286,643.46/x
  3. Step 3: Cross multiply
    501,498.78x = 692,068.31 × 286,643.46
  4. Step 4: Simplify right side
    501,498.78x = 198,376,854,934.75
  5. Step 5: Solve for x
    x = 198,376,854,934.75/501,498.78
  6. Step 6: Final answer
    x = 395,567.97

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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.