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Finding the Fourth Proportional to 917,044, 1,265,637.40 and 514,636

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Solution

The fourth proportional to 917,044, 1,265,637.40 and 514,636 is: 710,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,044 : 1,265,637.40 = 514,636 : x
  2. Step 2: Convert to fraction form
    917,044/1,265,637.40 = 514,636/x
  3. Step 3: Cross multiply
    917,044x = 1,265,637.40 × 514,636
  4. Step 4: Simplify right side
    917,044x = 651,342,568,986.40
  5. Step 5: Solve for x
    x = 651,342,568,986.40/917,044
  6. Step 6: Final answer
    x = 710,263.16

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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.