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Finding the Fourth Proportional to 369,688.34, 510,307.90 and 287,854.58

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Solution

The fourth proportional to 369,688.34, 510,307.90 and 287,854.58 is: 397,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,688.34 : 510,307.90 = 287,854.58 : x
  2. Step 2: Convert to fraction form
    369,688.34/510,307.90 = 287,854.58/x
  3. Step 3: Cross multiply
    369,688.34x = 510,307.90 × 287,854.58
  4. Step 4: Simplify right side
    369,688.34x = 146,894,466,225.18
  5. Step 5: Solve for x
    x = 146,894,466,225.18/369,688.34
  6. Step 6: Final answer
    x = 397,346.77

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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.