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Finding the Fourth Proportional to 936,144, 1,291,871.70 and 506,417.94

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Solution

The fourth proportional to 936,144, 1,291,871.70 and 506,417.94 is: 698,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,144 : 1,291,871.70 = 506,417.94 : x
  2. Step 2: Convert to fraction form
    936,144/1,291,871.70 = 506,417.94/x
  3. Step 3: Cross multiply
    936,144x = 1,291,871.70 × 506,417.94
  4. Step 4: Simplify right side
    936,144x = 654,227,005,058.30
  5. Step 5: Solve for x
    x = 654,227,005,058.30/936,144
  6. Step 6: Final answer
    x = 698,852.96

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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.