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Finding the Fourth Proportional to 420,376,908.15, 630,565,362.23 and 420,376,908.15

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Solution

The fourth proportional to 420,376,908.15, 630,565,362.23 and 420,376,908.15 is: 630,565,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,376,908.15 : 630,565,362.23 = 420,376,908.15 : x
  2. Step 2: Convert to fraction form
    420,376,908.15/630,565,362.23 = 420,376,908.15/x
  3. Step 3: Cross multiply
    420,376,908.15x = 630,565,362.23 × 420,376,908.15
  4. Step 4: Simplify right side
    420,376,908.15x = 265,075,117,358,630,304
  5. Step 5: Solve for x
    x = 265,075,117,358,630,304/420,376,908.15
  6. Step 6: Final answer
    x = 630,565,362.23

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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.