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Finding the Fourth Proportional to 527,184, 788,792 and 369,719.68

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Solution

The fourth proportional to 527,184, 788,792 and 369,719.68 is: 553,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,184 : 788,792 = 369,719.68 : x
  2. Step 2: Convert to fraction form
    527,184/788,792 = 369,719.68/x
  3. Step 3: Cross multiply
    527,184x = 788,792 × 369,719.68
  4. Step 4: Simplify right side
    527,184x = 291,631,925,826.56
  5. Step 5: Solve for x
    x = 291,631,925,826.56/527,184
  6. Step 6: Final answer
    x = 553,188.12

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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.