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Finding the Fourth Proportional to 209,927,801.60, 314,891,702.40 and 133,589,254.40

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Solution

The fourth proportional to 209,927,801.60, 314,891,702.40 and 133,589,254.40 is: 200,383,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,927,801.60 : 314,891,702.40 = 133,589,254.40 : x
  2. Step 2: Convert to fraction form
    209,927,801.60/314,891,702.40 = 133,589,254.40/x
  3. Step 3: Cross multiply
    209,927,801.60x = 314,891,702.40 × 133,589,254.40
  4. Step 4: Simplify right side
    209,927,801.60x = 42,066,147,740,362,688
  5. Step 5: Solve for x
    x = 42,066,147,740,362,688/209,927,801.60
  6. Step 6: Final answer
    x = 200,383,881.60

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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.