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Finding the Fourth Proportional to 841,034, 1,262,075.88 and 342,398

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Solution

The fourth proportional to 841,034, 1,262,075.88 and 342,398 is: 513,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,034 : 1,262,075.88 = 342,398 : x
  2. Step 2: Convert to fraction form
    841,034/1,262,075.88 = 342,398/x
  3. Step 3: Cross multiply
    841,034x = 1,262,075.88 × 342,398
  4. Step 4: Simplify right side
    841,034x = 432,132,257,160.24
  5. Step 5: Solve for x
    x = 432,132,257,160.24/841,034
  6. Step 6: Final answer
    x = 513,810.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.