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Finding the Fourth Proportional to 570,175,483.84, 786,842,160.96 and 309,415,099.84

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Solution

The fourth proportional to 570,175,483.84, 786,842,160.96 and 309,415,099.84 is: 426,992,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,175,483.84 : 786,842,160.96 = 309,415,099.84 : x
  2. Step 2: Convert to fraction form
    570,175,483.84/786,842,160.96 = 309,415,099.84/x
  3. Step 3: Cross multiply
    570,175,483.84x = 786,842,160.96 × 309,415,099.84
  4. Step 4: Simplify right side
    570,175,483.84x = 243,460,845,791,759,744
  5. Step 5: Solve for x
    x = 243,460,845,791,759,744/570,175,483.84
  6. Step 6: Final answer
    x = 426,992,834.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.