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Finding the Fourth Proportional to 589,688.40, 813,126.96 and 398,369.64

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Solution

The fourth proportional to 589,688.40, 813,126.96 and 398,369.64 is: 549,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,688.40 : 813,126.96 = 398,369.64 : x
  2. Step 2: Convert to fraction form
    589,688.40/813,126.96 = 398,369.64/x
  3. Step 3: Cross multiply
    589,688.40x = 813,126.96 × 398,369.64
  4. Step 4: Simplify right side
    589,688.40x = 323,925,094,329.49
  5. Step 5: Solve for x
    x = 323,925,094,329.49/589,688.40
  6. Step 6: Final answer
    x = 549,315.70

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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.