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Finding the Fourth Proportional to 665,853, 918,877.14 and 364,047

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Solution

The fourth proportional to 665,853, 918,877.14 and 364,047 is: 502,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,853 : 918,877.14 = 364,047 : x
  2. Step 2: Convert to fraction form
    665,853/918,877.14 = 364,047/x
  3. Step 3: Cross multiply
    665,853x = 918,877.14 × 364,047
  4. Step 4: Simplify right side
    665,853x = 334,514,466,185.58
  5. Step 5: Solve for x
    x = 334,514,466,185.58/665,853
  6. Step 6: Final answer
    x = 502,384.86

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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.