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Finding the Fourth Proportional to 423,347.76, 634,688.70 and 289,823.30

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Solution

The fourth proportional to 423,347.76, 634,688.70 and 289,823.30 is: 434,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,347.76 : 634,688.70 = 289,823.30 : x
  2. Step 2: Convert to fraction form
    423,347.76/634,688.70 = 289,823.30/x
  3. Step 3: Cross multiply
    423,347.76x = 634,688.70 × 289,823.30
  4. Step 4: Simplify right side
    423,347.76x = 183,947,573,506.71
  5. Step 5: Solve for x
    x = 183,947,573,506.71/423,347.76
  6. Step 6: Final answer
    x = 434,507.02

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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.