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Finding the Fourth Proportional to 430,030.70, 644,815.65 and 180,430.70

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Solution

The fourth proportional to 430,030.70, 644,815.65 and 180,430.70 is: 270,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,030.70 : 644,815.65 = 180,430.70 : x
  2. Step 2: Convert to fraction form
    430,030.70/644,815.65 = 180,430.70/x
  3. Step 3: Cross multiply
    430,030.70x = 644,815.65 × 180,430.70
  4. Step 4: Simplify right side
    430,030.70x = 116,344,539,100.46
  5. Step 5: Solve for x
    x = 116,344,539,100.46/430,030.70
  6. Step 6: Final answer
    x = 270,549.38

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1.5x scale

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.