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Finding the Fourth Proportional to 917,412, 1,266,029.28 and 515,133.60

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Solution

The fourth proportional to 917,412, 1,266,029.28 and 515,133.60 is: 710,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,412 : 1,266,029.28 = 515,133.60 : x
  2. Step 2: Convert to fraction form
    917,412/1,266,029.28 = 515,133.60/x
  3. Step 3: Cross multiply
    917,412x = 1,266,029.28 × 515,133.60
  4. Step 4: Simplify right side
    917,412x = 652,174,220,711.81
  5. Step 5: Solve for x
    x = 652,174,220,711.81/917,412
  6. Step 6: Final answer
    x = 710,884.77

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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.