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Finding the Fourth Proportional to 559,648.21, 772,341.90 and 314,710.05

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Solution

The fourth proportional to 559,648.21, 772,341.90 and 314,710.05 is: 434,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,648.21 : 772,341.90 = 314,710.05 : x
  2. Step 2: Convert to fraction form
    559,648.21/772,341.90 = 314,710.05/x
  3. Step 3: Cross multiply
    559,648.21x = 772,341.90 × 314,710.05
  4. Step 4: Simplify right side
    559,648.21x = 243,063,757,966.10
  5. Step 5: Solve for x
    x = 243,063,757,966.10/559,648.21
  6. Step 6: Final answer
    x = 434,315.26

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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.