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Finding the Fourth Proportional to 560,258.10, 840,390.23 and 139,533.98

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Solution

The fourth proportional to 560,258.10, 840,390.23 and 139,533.98 is: 209,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,258.10 : 840,390.23 = 139,533.98 : x
  2. Step 2: Convert to fraction form
    560,258.10/840,390.23 = 139,533.98/x
  3. Step 3: Cross multiply
    560,258.10x = 840,390.23 × 139,533.98
  4. Step 4: Simplify right side
    560,258.10x = 117,262,988,645.39
  5. Step 5: Solve for x
    x = 117,262,988,645.39/560,258.10
  6. Step 6: Final answer
    x = 209,301.73

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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.