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Finding the Fourth Proportional to 514,588.63, 710,478.91 and 321,290.64

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Solution

The fourth proportional to 514,588.63, 710,478.91 and 321,290.64 is: 443,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,588.63 : 710,478.91 = 321,290.64 : x
  2. Step 2: Convert to fraction form
    514,588.63/710,478.91 = 321,290.64/x
  3. Step 3: Cross multiply
    514,588.63x = 710,478.91 × 321,290.64
  4. Step 4: Simplify right side
    514,588.63x = 228,270,223,700.40
  5. Step 5: Solve for x
    x = 228,270,223,700.40/514,588.63
  6. Step 6: Final answer
    x = 443,597.49

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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.