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Finding the Fourth Proportional to 774,699, 1,069,139.16 and 435,167.52

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Solution

The fourth proportional to 774,699, 1,069,139.16 and 435,167.52 is: 600,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,699 : 1,069,139.16 = 435,167.52 : x
  2. Step 2: Convert to fraction form
    774,699/1,069,139.16 = 435,167.52/x
  3. Step 3: Cross multiply
    774,699x = 1,069,139.16 × 435,167.52
  4. Step 4: Simplify right side
    774,699x = 465,254,636,792.08
  5. Step 5: Solve for x
    x = 465,254,636,792.08/774,699
  6. Step 6: Final answer
    x = 600,561.81

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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.