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Finding the Fourth Proportional to 563,547.84, 776,388.96 and 393,512.64

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Solution

The fourth proportional to 563,547.84, 776,388.96 and 393,512.64 is: 542,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,547.84 : 776,388.96 = 393,512.64 : x
  2. Step 2: Convert to fraction form
    563,547.84/776,388.96 = 393,512.64/x
  3. Step 3: Cross multiply
    563,547.84x = 776,388.96 × 393,512.64
  4. Step 4: Simplify right side
    563,547.84x = 305,518,869,316.45
  5. Step 5: Solve for x
    x = 305,518,869,316.45/563,547.84
  6. Step 6: Final answer
    x = 542,134.75

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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.