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Finding the Fourth Proportional to 518,618, 778,058.28 and 144,641

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Solution

The fourth proportional to 518,618, 778,058.28 and 144,641 is: 216,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,618 : 778,058.28 = 144,641 : x
  2. Step 2: Convert to fraction form
    518,618/778,058.28 = 144,641/x
  3. Step 3: Cross multiply
    518,618x = 778,058.28 × 144,641
  4. Step 4: Simplify right side
    518,618x = 112,539,127,677.48
  5. Step 5: Solve for x
    x = 112,539,127,677.48/518,618
  6. Step 6: Final answer
    x = 216,998.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.