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Finding the Fourth Proportional to 514,579.07, 710,465.65 and 321,281.07

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Solution

The fourth proportional to 514,579.07, 710,465.65 and 321,281.07 is: 443,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,579.07 : 710,465.65 = 321,281.07 : x
  2. Step 2: Convert to fraction form
    514,579.07/710,465.65 = 321,281.07/x
  3. Step 3: Cross multiply
    514,579.07x = 710,465.65 × 321,281.07
  4. Step 4: Simplify right side
    514,579.07x = 228,259,163,427.04
  5. Step 5: Solve for x
    x = 228,259,163,427.04/514,579.07
  6. Step 6: Final answer
    x = 443,584.24

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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.