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Finding the Fourth Proportional to 430,070.64, 644,904.36 and 230,354.16

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Solution

The fourth proportional to 430,070.64, 644,904.36 and 230,354.16 is: 345,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,070.64 : 644,904.36 = 230,354.16 : x
  2. Step 2: Convert to fraction form
    430,070.64/644,904.36 = 230,354.16/x
  3. Step 3: Cross multiply
    430,070.64x = 644,904.36 × 230,354.16
  4. Step 4: Simplify right side
    430,070.64x = 148,556,402,128.14
  5. Step 5: Solve for x
    x = 148,556,402,128.14/430,070.64
  6. Step 6: Final answer
    x = 345,423.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.