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Finding the Fourth Proportional to 739,502, 1,020,513.12 and 399,970.16

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Solution

The fourth proportional to 739,502, 1,020,513.12 and 399,970.16 is: 551,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,502 : 1,020,513.12 = 399,970.16 : x
  2. Step 2: Convert to fraction form
    739,502/1,020,513.12 = 399,970.16/x
  3. Step 3: Cross multiply
    739,502x = 1,020,513.12 × 399,970.16
  4. Step 4: Simplify right side
    739,502x = 408,174,795,888.50
  5. Step 5: Solve for x
    x = 408,174,795,888.50/739,502
  6. Step 6: Final answer
    x = 551,959.02

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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.