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Finding the Fourth Proportional to 525,888,078.40, 788,832,117.60 and 284,023,374.40

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Solution

The fourth proportional to 525,888,078.40, 788,832,117.60 and 284,023,374.40 is: 426,035,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,888,078.40 : 788,832,117.60 = 284,023,374.40 : x
  2. Step 2: Convert to fraction form
    525,888,078.40/788,832,117.60 = 284,023,374.40/x
  3. Step 3: Cross multiply
    525,888,078.40x = 788,832,117.60 × 284,023,374.40
  4. Step 4: Simplify right side
    525,888,078.40x = 224,046,759,875,849,632
  5. Step 5: Solve for x
    x = 224,046,759,875,849,632/525,888,078.40
  6. Step 6: Final answer
    x = 426,035,061.60

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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.