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Finding the Fourth Proportional to 553,281.40, 829,922.10 and 402,815.80

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Solution

The fourth proportional to 553,281.40, 829,922.10 and 402,815.80 is: 604,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,281.40 : 829,922.10 = 402,815.80 : x
  2. Step 2: Convert to fraction form
    553,281.40/829,922.10 = 402,815.80/x
  3. Step 3: Cross multiply
    553,281.40x = 829,922.10 × 402,815.80
  4. Step 4: Simplify right side
    553,281.40x = 334,305,734,649.18
  5. Step 5: Solve for x
    x = 334,305,734,649.18/553,281.40
  6. Step 6: Final answer
    x = 604,223.70

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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.