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Finding the Fourth Proportional to 570,172.40, 786,784.48 and 340,684

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Solution

The fourth proportional to 570,172.40, 786,784.48 and 340,684 is: 470,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,172.40 : 786,784.48 = 340,684 : x
  2. Step 2: Convert to fraction form
    570,172.40/786,784.48 = 340,684/x
  3. Step 3: Cross multiply
    570,172.40x = 786,784.48 × 340,684
  4. Step 4: Simplify right side
    570,172.40x = 268,044,883,784.32
  5. Step 5: Solve for x
    x = 268,044,883,784.32/570,172.40
  6. Step 6: Final answer
    x = 470,111.99

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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.