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Finding the Fourth Proportional to 656,045,689, 905,361,946.50 and 362,709,152.68

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Solution

The fourth proportional to 656,045,689, 905,361,946.50 and 362,709,152.68 is: 500,549,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,045,689 : 905,361,946.50 = 362,709,152.68 : x
  2. Step 2: Convert to fraction form
    656,045,689/905,361,946.50 = 362,709,152.68/x
  3. Step 3: Cross multiply
    656,045,689x = 905,361,946.50 × 362,709,152.68
  4. Step 4: Simplify right side
    656,045,689x = 328,383,064,483,730,496
  5. Step 5: Solve for x
    x = 328,383,064,483,730,496/656,045,689
  6. Step 6: Final answer
    x = 500,549,077.59

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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.