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Finding the Fourth Proportional to 704,133,128.56, 971,804,765.52 and 421,886,715.76

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Solution

The fourth proportional to 704,133,128.56, 971,804,765.52 and 421,886,715.76 is: 582,264,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,133,128.56 : 971,804,765.52 = 421,886,715.76 : x
  2. Step 2: Convert to fraction form
    704,133,128.56/971,804,765.52 = 421,886,715.76/x
  3. Step 3: Cross multiply
    704,133,128.56x = 971,804,765.52 × 421,886,715.76
  4. Step 4: Simplify right side
    704,133,128.56x = 409,991,520,885,149,696
  5. Step 5: Solve for x
    x = 409,991,520,885,149,696/704,133,128.56
  6. Step 6: Final answer
    x = 582,264,211.49

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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.