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Finding the Fourth Proportional to 472,888,361.52, 709,400,235.40 and 145,391,369.07

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Solution

The fourth proportional to 472,888,361.52, 709,400,235.40 and 145,391,369.07 is: 218,107,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,888,361.52 : 709,400,235.40 = 145,391,369.07 : x
  2. Step 2: Convert to fraction form
    472,888,361.52/709,400,235.40 = 145,391,369.07/x
  3. Step 3: Cross multiply
    472,888,361.52x = 709,400,235.40 × 145,391,369.07
  4. Step 4: Simplify right side
    472,888,361.52x = 103,140,671,445,683,056
  5. Step 5: Solve for x
    x = 103,140,671,445,683,056/472,888,361.52
  6. Step 6: Final answer
    x = 218,107,866.12

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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.