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Finding the Fourth Proportional to 760,653, 1,049,701.14 and 421,143.12

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Solution

The fourth proportional to 760,653, 1,049,701.14 and 421,143.12 is: 581,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,653 : 1,049,701.14 = 421,143.12 : x
  2. Step 2: Convert to fraction form
    760,653/1,049,701.14 = 421,143.12/x
  3. Step 3: Cross multiply
    760,653x = 1,049,701.14 × 421,143.12
  4. Step 4: Simplify right side
    760,653x = 442,074,413,167.16
  5. Step 5: Solve for x
    x = 442,074,413,167.16/760,653
  6. Step 6: Final answer
    x = 581,177.51

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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.