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Finding the Fourth Proportional to 551,925.80, 827,888.70 and 286,205.30

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Solution

The fourth proportional to 551,925.80, 827,888.70 and 286,205.30 is: 429,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,925.80 : 827,888.70 = 286,205.30 : x
  2. Step 2: Convert to fraction form
    551,925.80/827,888.70 = 286,205.30/x
  3. Step 3: Cross multiply
    551,925.80x = 827,888.70 × 286,205.30
  4. Step 4: Simplify right side
    551,925.80x = 236,946,133,750.11
  5. Step 5: Solve for x
    x = 236,946,133,750.11/551,925.80
  6. Step 6: Final answer
    x = 429,307.95

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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.