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Finding the Fourth Proportional to 909,648, 1,255,340.16 and 507,265.92

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Solution

The fourth proportional to 909,648, 1,255,340.16 and 507,265.92 is: 700,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,648 : 1,255,340.16 = 507,265.92 : x
  2. Step 2: Convert to fraction form
    909,648/1,255,340.16 = 507,265.92/x
  3. Step 3: Cross multiply
    909,648x = 1,255,340.16 × 507,265.92
  4. Step 4: Simplify right side
    909,648x = 636,791,281,175.35
  5. Step 5: Solve for x
    x = 636,791,281,175.35/909,648
  6. Step 6: Final answer
    x = 700,041.42

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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.