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Finding the Fourth Proportional to 298,934,401.60, 448,401,602.40 and 137,376,337.60

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Solution

The fourth proportional to 298,934,401.60, 448,401,602.40 and 137,376,337.60 is: 206,064,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,934,401.60 : 448,401,602.40 = 137,376,337.60 : x
  2. Step 2: Convert to fraction form
    298,934,401.60/448,401,602.40 = 137,376,337.60/x
  3. Step 3: Cross multiply
    298,934,401.60x = 448,401,602.40 × 137,376,337.60
  4. Step 4: Simplify right side
    298,934,401.60x = 61,599,769,911,683,368
  5. Step 5: Solve for x
    x = 61,599,769,911,683,368/298,934,401.60
  6. Step 6: Final answer
    x = 206,064,506.40

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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.