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Finding the Fourth Proportional to 286,695.90, 395,641.35 and 157,642.49

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Solution

The fourth proportional to 286,695.90, 395,641.35 and 157,642.49 is: 217,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,695.90 : 395,641.35 = 157,642.49 : x
  2. Step 2: Convert to fraction form
    286,695.90/395,641.35 = 157,642.49/x
  3. Step 3: Cross multiply
    286,695.90x = 395,641.35 × 157,642.49
  4. Step 4: Simplify right side
    286,695.90x = 62,369,885,582.75
  5. Step 5: Solve for x
    x = 62,369,885,582.75/286,695.90
  6. Step 6: Final answer
    x = 217,547.18

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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.