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Finding the Fourth Proportional to 314,813,870.80, 472,220,806.20 and 161,758,862.80

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Solution

The fourth proportional to 314,813,870.80, 472,220,806.20 and 161,758,862.80 is: 242,638,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,813,870.80 : 472,220,806.20 = 161,758,862.80 : x
  2. Step 2: Convert to fraction form
    314,813,870.80/472,220,806.20 = 161,758,862.80/x
  3. Step 3: Cross multiply
    314,813,870.80x = 472,220,806.20 × 161,758,862.80
  4. Step 4: Simplify right side
    314,813,870.80x = 76,385,900,601,411,200
  5. Step 5: Solve for x
    x = 76,385,900,601,411,200/314,813,870.80
  6. Step 6: Final answer
    x = 242,638,294.20

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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.